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2 years ago

Factor 2xz - 3yz + 8x - 12y completely. If the polynomial is not factorable, write prime. SHOW YOUR WORK FOR FULL CREDIT!

2 answers:

6 0

Steps: Factor The Expression
2xz-3yz+8x-12y

Factor out z from the first 2 terms.
z*(2x-3y)+8x-12y.

Factor out 4 from the last 2 terms.
GCF of 8 and 12 is 4.
z*(2x-3y)+4(2x-3y)

Factor out 2x- 3y from the
expression.

(2x-3y)*(z+4)

Final Answer: (2x-3y)*(z+4)

Mars2501 [29]2 years ago

3 0

X57 I think no just doing this for points so made a random number lol

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1 year ago

A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n

mafiozo [28]

Answer:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

$\hat p=\frac{40}{120}=0.333$ estimated proportion of strawberries damaged

$p_o=0.25$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that no more than 25% of his total harvest of strawberries was damaged.:

Null hypothesis: $p\leq 0.25$

Alternative hypothesis: $p > 0.25$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

6 0

2 years ago

Which system of equations would have no solution? pls helpp

Leya [2.2K]

Answer:

3x+y=8 and 3x+y=9

Step-by-step explanation:

Assume these two equations:

a1x+b1y+c1=0

a2x+b2y+c2=0

If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.

In these case, take a look at the last option:

$3x + y = 8 \\ 3x + y = 9$

Re-write 'em as a standard form:

$3x + y - 8 = 0 \\ 3x + y - 9 = 0$

So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:

$\frac{3}{3} = \frac{1}{1} ≠ \frac{ - 8}{ - 9}$

And they do not have any collision point

6 0

2 years ago

Read 2 more answers

What’s (3b-5c)(2x+5y) squared

lukranit [14]

Answer: In your problem, you said that they are squared. However, it is not written as squared. We just have to multiply them.

We can use the FOIL method.

(3b - 5c)(3x + 5y)

6bx + 15by - 10cx - 25cy

There are no like terms, so that expression is our final answer.

8 0

3 years ago